We need to find the area for the given figure.
Now, we can divide the figure into two rectangles:
Then, we need to find each area. The area for a rectangle is given by the next formula:
[tex]A=Length\cdot\text{ width}[/tex]For the largest rectangle:
Lenght = 2yd + 5yd + 2yd
Lenght = 9yd
Width = 5yd
Therefore, the area for the largest rectangle is:
[tex]A=9yd\cdot5yd[/tex][tex]A=45yd^2[/tex]For the small rectangle:
Length = 5yd
Width = 3yd
Therefore, the area for the small rectangle is:
[tex]A=5yd\cdot3yd[/tex][tex]A=15yd^2[/tex]Now, to find the total area of the figure, we need to add up to both rectangles areas:
[tex]A_t=small\text{ rectangle +largest rectangle}[/tex]Then:
[tex]A_t=60yd^2[/tex]Hence, the total area for the figure is 60yd²
